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Simplifying 0 = (x + 3)(5x + 15) Reorder the terms: 0 = (3 + x)(5x + 15) Reorder the terms: 0 = (3 + x)(15 + 5x) Multiply (3 + x) * (15 + 5x) 0 = (3(15 + 5x) + x(15 + 5x)) 0 = ((15 * 3 + 5x * 3) + x(15 + 5x)) 0 = ((45 + 15x) + x(15 + 5x)) 0 = (45 + 15x + (15 * x + 5x * x)) 0 = (45 + 15x + (15x + 5x2)) Combine like terms: 15x + 15x = 30x 0 = (45 + 30x + 5x2) Solving 0 = 45 + 30x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -45 = -45 -45 + -30x + -5x2 = 45 + 30x + 5x2 + -45 + -30x + -5x2 Reorder the terms: -45 + -30x + -5x2 = 45 + -45 + 30x + -30x + 5x2 + -5x2 Combine like terms: 45 + -45 = 0 -45 + -30x + -5x2 = 0 + 30x + -30x + 5x2 + -5x2 -45 + -30x + -5x2 = 30x + -30x + 5x2 + -5x2 Combine like terms: 30x + -30x = 0 -45 + -30x + -5x2 = 0 + 5x2 + -5x2 -45 + -30x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -45 + -30x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-5'. -5(9 + 6x + x2) = 0 Factor a trinomial. -5((3 + x)(3 + x)) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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